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12101785240 = 23517731311861
BaseRepresentation
bin10110100010101001…
…01001011010011000
31011020101122101110011
423101110221122120
5144241024111430
65320503131304
7605615322466
oct132124513230
934211571404
1012101785240
115150162406
122418a43b34
1311ab281a8c
1482b355836
154ac67922a
hex2d1529698

12101785240 has 128 divisors (see below), whose sum is σ = 29464585920. Its totient is φ = 4456857600.

The previous prime is 12101785237. The next prime is 12101785243. The reversal of 12101785240 is 4258710121.

It is an interprime number because it is at equal distance from previous prime (12101785237) and next prime (12101785243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101785243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6501910 + ... + 6503770.

Almost surely, 212101785240 is an apocalyptic number.

12101785240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101785240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732292960).

12101785240 is an abundant number, since it is smaller than the sum of its proper divisors (17362800680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12101785240 is a wasteful number, since it uses less digits than its factorization.

12101785240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The spelling of 12101785240 in words is "twelve billion, one hundred one million, seven hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 131 136 146 170 262 292 340 365 524 584 655 680 730 1048 1241 1310 1460 1861 2227 2482 2620 2920 3722 4454 4964 5240 6205 7444 8908 9305 9563 9928 11135 12410 14888 17816 18610 19126 22270 24820 31637 37220 38252 44540 47815 49640 63274 74440 76504 89080 95630 126548 135853 158185 162571 191260 243791 253096 271706 316370 325142 382520 487582 543412 632740 650284 679265 812855 975164 1086824 1218955 1265480 1300568 1358530 1625710 1950328 2309501 2437910 2717060 3251420 4144447 4619002 4875820 5434120 6502840 8288894 9238004 9751640 11547505 16577788 17796743 18476008 20722235 23095010 33155576 35593486 41444470 46190020 71186972 82888940 88983715 92380040 142373944 165777880 177967430 302544631 355934860 605089262 711869720 1210178524 1512723155 2420357048 3025446310 6050892620 12101785240